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STAT15_1: (Please resolve all sections, each section separately, without using Excel software) Hold five balls. Three...

STAT15_1:

(Please resolve all sections, each section separately, without using Excel software)

Hold five balls. Three of them are number 1 and the remaining two are number 2.
Pick a ball from the urn by chance. Let X be the number listed on the selected ball.
Now cast a good coin X times. For example, if a ball on which the number 2 is selected then the coin is cast twice. May Y be the number of times received ", Plei"

A. Find the joint probability function of X and Y and the marginal probability functions.
B. Are X and Y uncoordinated? Are they independent?
C. It is known that the coin did not fall on "Plei". What is the probability that a ball has been removed from the number 2 ball?
D. Repeat the described experiment (picking the ball and dropping the coin) twice. (The ball is returned to the pitcher before the second repeat of the experiment).
What is the probability that the total number of times the coin falls on "Plei" will be 2?

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